document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=775372>Question 775372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the measure of angle A will make this quadrilateral a parallelogram?angle D =7x+1 angle B=10x-23 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #472840 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=472840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If B and D are opposite angles of a parallelogram, then they are congruent.<BR>\n" );
document.write( "So 7x + 1 = 10x - 23<BR>\n" );
document.write( "Solve for x:<BR>\n" );
document.write( "3x = 24 -> x = 8<BR>\n" );
document.write( "So the measure of angle B is 10*8 - 23 = 57 deg.<BR>\n" );
document.write( "Since consecutive angles of a parallelogram are supplementary, we have A + 57 = 180, or A = 123 deg. </SPAN>\n" );
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